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Finding the Third Proportional to 71,034.19 and 118,374.75

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Solution

The third proportional to 71,034.19 and 118,374.75 is: 197,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,034.19 : 118,374.75 = 118,374.75 : x
  2. Step 2: Convert to fraction form
    71,034.19/118,374.75 = 118,374.75/x
  3. Step 3: Cross multiply
    71,034.19x = 118,374.75 × 118,374.75
  4. Step 4: Simplify right side
    71,034.19x = 14,012,581,437.56
  5. Step 5: Solve for x
    x = 14,012,581,437.56/71,034.19
  6. Step 6: Final answer
    x = 197,265.32

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.